(What is a residual? See "Residuals and Leastern Squares".)** **The graphing calculator provides a least squares regression equation to recognize regression models. When regression models are computed, residuals are instantly stored in a list referred to as RESID. If you desire to view the RESID list, in the column list area of the calculator, you can place the values in L3 (for example). Go toSTAT and pick EDIT. Place the cursor on the heading forL3. Press LIST (2nd STAT) and also choose #7 RESID. PressENTER. The residual worths are currently in L3 for easy viewing.

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Consider this set of information (which is “almost” a perfect direct equation)

If the data had actually been a perfect linear equation, you would have:

After adjusting the home window, just hit GRAPH (not Zoom).

Step-by-action Instructions for Producing a Residual Plot:

**1.**Store your data in lists. Enter the

*x*-worths in L1 and the

*y*-worths in L2.

**2.**Perform a direct regression.

STAT, arrow ideal to CALC, select either 4:LinReg(ax+b) or 8:LinReg(a+bx)

**3.**Store the regression equation in Y1.

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**4.**Go to the height of L3 and also press ENTER. The cursor is currently flashing at the bottom of the display screen after L3 =. Type in L2 - Y1(L1). The Y1(L1) will certainly calculate the regression

*y-*worths by placing each

*x*-value into your regression equation. OR Go to the optimal of L3 and push ENTER. Press LIST (2nd STAT) and also choose #7 RESID. Press ENTER.

**5.**Go to the STAT PLOT menu (2nd Y=). Choose Plot1, hit ENTER. TurnthePlotON (by hitting ENTER). ArrowdowntoType: pick the first choice (scatter plot). Make XList: L1 (the

*x*-values) Make YList: L3 (the residuals)

**6.**Go to ZOOM. Choose ZOOM 9:ZoomStat You must see your Residual Plot.